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L = kT^2
Now plug in your numbers
Now plug in your numbers
Let's denote the constant of proportionality as k. According to the given information, we have:
l ∝ T^2
We can rewrite this proportionality as an equation by introducing the constant of proportionality:
l = k * T^2
To find the value of k, we can substitute the given values into the equation. We know that when l = 220.5 cm, T = 3 s. Substituting these values:
220.5 = k * 3^2
Simplifying the equation:
220.5 = k * 9
Now we can solve for k by dividing both sides by 9:
k = 220.5 / 9
k = 24.5
Therefore, the equation connecting the length of the simple pendulum (l) and its period (T) is:
l = 24.5T^2